Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph

The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use a...

Full description

Saved in:
Bibliographic Details
Main Authors: Peng Xu, Muhammad Numan, Aamra Nawaz, Saad Ihsan Butt, Adnan Aslam, Asfand Fahad
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2021/1078792
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832565272654905344
author Peng Xu
Muhammad Numan
Aamra Nawaz
Saad Ihsan Butt
Adnan Aslam
Asfand Fahad
author_facet Peng Xu
Muhammad Numan
Aamra Nawaz
Saad Ihsan Butt
Adnan Aslam
Asfand Fahad
author_sort Peng Xu
collection DOAJ
description The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies. In this paper, we will compute the Hosoya polynomial for multiwheel graph and uniform subdivision of multiwheel graph. Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index.
format Article
id doaj-art-ee83399f277942b3b82cd986c58b52ed
institution Kabale University
issn 2090-9071
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Chemistry
spelling doaj-art-ee83399f277942b3b82cd986c58b52ed2025-02-03T01:08:48ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/1078792Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision GraphPeng Xu0Muhammad Numan1Aamra Nawaz2Saad Ihsan Butt3Adnan Aslam4Asfand Fahad5Institute of Computational Science and TechnologyDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Natural Sciences and HumanitiesDepartment of MathematicsThe determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies. In this paper, we will compute the Hosoya polynomial for multiwheel graph and uniform subdivision of multiwheel graph. Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index.http://dx.doi.org/10.1155/2021/1078792
spellingShingle Peng Xu
Muhammad Numan
Aamra Nawaz
Saad Ihsan Butt
Adnan Aslam
Asfand Fahad
Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
Journal of Chemistry
title Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
title_full Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
title_fullStr Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
title_full_unstemmed Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
title_short Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
title_sort computing the hosoya polynomial of m th level wheel and its subdivision graph
url http://dx.doi.org/10.1155/2021/1078792
work_keys_str_mv AT pengxu computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph
AT muhammadnuman computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph
AT aamranawaz computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph
AT saadihsanbutt computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph
AT adnanaslam computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph
AT asfandfahad computingthehosoyapolynomialofmthlevelwheelanditssubdivisiongraph